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Finding the Fourth Proportional to 137,038.14, 205,580.69 and 47,076.57

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Solution

The fourth proportional to 137,038.14, 205,580.69 and 47,076.57 is: 70,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,038.14 : 205,580.69 = 47,076.57 : x
  2. Step 2: Convert to fraction form
    137,038.14/205,580.69 = 47,076.57/x
  3. Step 3: Cross multiply
    137,038.14x = 205,580.69 × 47,076.57
  4. Step 4: Simplify right side
    137,038.14x = 9,678,033,743.43
  5. Step 5: Solve for x
    x = 9,678,033,743.43/137,038.14
  6. Step 6: Final answer
    x = 70,622.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.